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C $Header: /u/gcmpack/MITgcm/pkg/grdchk/grdchk_main.F,v 1.3.4.1 2002/05/30 22:12:32 heimbach Exp $ |
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#include "CPP_OPTIONS.h" |
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|
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CBOI |
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C |
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C !TITLE: GRADIENT CHECK |
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C !AUTHORS: mitgcm developers ( support@mitgcm.org ) |
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C !AFFILIATION: Massachussetts Institute of Technology |
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C !DATE: |
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C !INTRODUCTION: gradient check package |
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c \bv |
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c Compare the gradients calculated by the adjoint model with |
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c finite difference approximations. |
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c |
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C !CALLING SEQUENCE: |
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c |
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c the_model_main |
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c | |
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c |-- ctrl_unpack |
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c |-- adthe_main_loop - unperturbed cost function and |
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c |-- ctrl_pack adjoint gradient are computed here |
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c | |
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c |-- grdchk_main |
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c | |
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c |-- grdchk_init |
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c |-- do icomp=... - loop over control vector elements |
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c | |
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c |-- grdchk_loc - determine location of icomp on grid |
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c | |
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c |-- grdchk_getxx - get control vector component from file |
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c | perturb it and write back to file |
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c |-- grdchk_getadxx - get gradient component calculated |
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c | via adjoint |
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c |-- the_main_loop - forward run and cost evaluation |
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c | with perturbed control vector element |
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c |-- calculate ratio of adj. vs. finite difference gradient |
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c | |
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c |-- grdchk_setxx - Reset control vector element |
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c | |
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c |-- grdchk_print - print results |
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c \ev |
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CEOI |
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|
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CBOP |
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C !ROUTINE: grdchk_main |
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C !INTERFACE: |
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subroutine grdchk_main( mythid ) |
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|
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C !DESCRIPTION: \bv |
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c ================================================================== |
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c SUBROUTINE grdchk_main |
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c ================================================================== |
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c o Compare the gradients calculated by the adjoint model with |
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c finite difference approximations. |
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c started: Christian Eckert eckert@mit.edu 24-Feb-2000 |
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c continued&finished: heimbach@mit.edu: 13-Jun-2001 |
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c changed: mlosch@ocean.mit.edu: 09-May-2002 |
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c - added centered difference vs. 1-sided difference option |
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c - improved output format for readability |
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c - added control variable hFacC |
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c |
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c ================================================================== |
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c SUBROUTINE grdchk_main |
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c ================================================================== |
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C \ev |
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|
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C !USES: |
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implicit none |
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|
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c == global variables == |
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#include "SIZE.h" |
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#include "EEPARAMS.h" |
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#include "PARAMS.h" |
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#include "grdchk.h" |
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#include "cost.h" |
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|
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C !INPUT/OUTPUT PARAMETERS: |
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c == routine arguments == |
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integer mythid |
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|
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#ifdef ALLOW_GRADIENT_CHECK |
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C !LOCAL VARIABLES: |
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c == local variables == |
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integer myiter |
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_RL mytime |
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integer bi, itlo, ithi |
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integer bj, jtlo, jthi |
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integer i, imin, imax |
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integer j, jmin, jmax |
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integer k |
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|
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integer jprocs |
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integer proc_grdchk |
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integer icomp |
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integer ichknum |
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integer icvrec |
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integer jtile |
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integer itile |
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integer layer |
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integer itilepos |
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integer jtilepos |
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integer itest |
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integer ierr |
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integer ierr_grdchk |
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_RL gfd |
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_RL fcref |
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_RL fcpertplus, fcpertminus |
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_RL ratio |
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_RL xxmemo_ref |
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_RL xxmemo_pert |
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_RL adxxmemo |
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|
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cph( |
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_RL tmpplot1(1-olx:snx+olx,1-oly:sny+oly,nr,nsx,nsy) |
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_RL tmpplot2(1-olx:snx+olx,1-oly:sny+oly,nr,nsx,nsy) |
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cph) |
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|
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Cml( |
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_RL grdchk_epsfac |
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Cml) |
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c == end of interface == |
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CEOP |
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|
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c-- Set the loop ranges. |
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jtlo = mybylo(mythid) |
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jthi = mybyhi(mythid) |
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itlo = mybxlo(mythid) |
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ithi = mybxhi(mythid) |
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jmin = 1 |
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jmax = sny |
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imin = 1 |
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imax = snx |
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|
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c-- initialise variables |
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call grdchk_init( mythid ) |
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|
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c-- Compute the adjoint models' gradients. |
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c-- Compute the unperturbed cost function. |
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cph Gradient via adjoint has already been computed, |
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cph and so has unperturbed cost function, |
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cph assuming all xx_ fields are initialised to zero. |
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|
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fcref = fc |
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ierr_grdchk = 0 |
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|
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cph( |
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do bj = jtlo, jthi |
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do bi = itlo, ithi |
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do k = 1, nr |
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do j = jmin, jmax |
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do i = imin, imax |
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tmpplot1(i,j,k,bi,bj) = 0. _d 0 |
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tmpplot2(i,j,k,bi,bj) = 0. _d 0 |
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end do |
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end do |
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end do |
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end do |
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end do |
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cph) |
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|
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if ( useCentralDiff ) then |
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grdchk_epsfac = 2. _d 0 |
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else |
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grdchk_epsfac = 1. _d 0 |
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end if |
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|
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c-- Compute the finite difference approximations. |
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c-- Cycle through all processes doing NINT(nend-nbeg+1)/nstep |
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c-- gradient checks. |
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do jprocs = 1,numberOfProcs |
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proc_grdchk = jprocs - 1 |
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if ( myProcId .eq. proc_grdchk ) then |
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do icomp = nbeg, nend, nstep |
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ichknum = (icomp - nbeg)/nstep + 1 |
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if (ichknum .le. maxgrdchecks ) then |
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c-- Determine the location of icomp on the grid. |
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call grdchk_loc( icomp, ichknum, |
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& icvrec, itile, jtile, layer, |
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& itilepos, jtilepos, itest, ierr, |
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& mythid ) |
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if ( ierr .eq. 0 ) then |
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c-- positive perturbation |
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grdchk_eps = abs(grdchk_eps) |
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|
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c-- get gradient component calculated via adjoint |
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call grdchk_getadxx( icvrec, |
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& itile, jtile, layer, |
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& itilepos, jtilepos, |
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& adxxmemo, mythid ) |
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_BARRIER |
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|
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c-- get control vector component from file |
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c-- perturb it and write back to file |
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call grdchk_getxx( icvrec, |
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& itile, jtile, layer, |
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& itilepos, jtilepos, |
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& xxmemo_ref, xxmemo_pert, mythid ) |
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_BARRIER |
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|
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c-- forward run with perturbed control vector |
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mytime = starttime |
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myiter = niter0 |
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call the_main_loop( mytime, myiter, mythid ) |
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fcpertplus = fc |
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|
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c-- Reset control vector. |
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call grdchk_setxx( icvrec, |
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& itile, jtile, layer, |
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& itilepos, jtilepos, |
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& xxmemo_ref, mythid ) |
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_BARRIER |
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|
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fcpertminus = fcref |
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|
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if ( useCentralDiff ) then |
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c-- repeat the proceedure for a negative perturbation |
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grdchk_eps = - abs(grdchk_eps) |
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|
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c-- get control vector component from file |
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c-- perturb it and write back to file |
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call grdchk_getxx( icvrec, |
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& itile, jtile, layer, |
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& itilepos, jtilepos, |
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& xxmemo_ref, xxmemo_pert, mythid ) |
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_BARRIER |
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|
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c-- forward run with perturbed control vector |
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mytime = starttime |
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myiter = niter0 |
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call the_main_loop( mytime, myiter, mythid ) |
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fcpertminus = fc |
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c-- Reset control vector. |
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call grdchk_setxx( icvrec, |
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& itile, jtile, layer, |
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& itilepos, jtilepos, |
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& xxmemo_ref, mythid ) |
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_BARRIER |
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c reset grdchk_eps to a positive value |
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grdchk_eps = abs(grdchk_eps) |
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end if |
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c-- |
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if ( grdchk_eps .eq. 0. ) then |
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gfd = (fcpertplus-fcpertminus) |
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else |
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gfd = (fcpertplus-fcpertminus) |
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& /(grdchk_epsfac*grdchk_eps) |
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endif |
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|
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if ( adxxmemo .eq. 0. ) then |
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ratio = abs( adxxmemo - gfd ) |
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else |
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ratio = 1. - gfd/adxxmemo |
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endif |
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|
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cph( |
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tmpplot1(itilepos,jtilepos,layer,itile,jtile) = |
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& gfd |
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tmpplot2(itilepos,jtilepos,layer,itile,jtile) = |
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& ratio |
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cph) |
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|
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|
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fcrmem ( ichknum ) = fcref |
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fcppmem ( ichknum ) = fcpertplus |
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fcpmmem ( ichknum ) = fcpertminus |
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xxmemref ( ichknum ) = xxmemo_ref |
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xxmempert ( ichknum ) = xxmemo_pert |
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gfdmem ( ichknum ) = gfd |
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adxxmem ( ichknum ) = adxxmemo |
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ratiomem ( ichknum ) = ratio |
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|
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irecmem ( ichknum ) = icvrec |
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bimem ( ichknum ) = itile |
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bjmem ( ichknum ) = jtile |
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ilocmem ( ichknum ) = itilepos |
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jlocmem ( ichknum ) = jtilepos |
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klocmem ( ichknum ) = layer |
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icompmem ( ichknum ) = icomp |
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ichkmem ( ichknum ) = ichknum |
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itestmem ( ichknum ) = itest |
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ierrmem ( ichknum ) = ierr |
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|
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cph( |
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print *, 'ph-grd 3 -------------------------------' |
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print '(a,4I5,3(1x,E15.9))', 'ph-grd 3 ', |
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& ichknum,itilepos,jtilepos,layer, |
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& fcref, fcpertplus, fcpertminus |
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print '(a,4I5,3(1x,E15.9))', 'ph-grd 3 ', |
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& ichknum,ichkmem(ichknum), |
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& icompmem(ichknum),itestmem(ichknum), |
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& adxxmemo, gfd, ratio |
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cph) |
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else |
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c |
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print *, 'ph-grd 3 -------------------------------' |
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print *, 'ph-grd 3 : ierr = ', ierr, |
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& ', icomp = ', icomp |
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endif |
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else |
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ierr_grdchk = -1 |
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endif |
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|
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enddo |
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endif |
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|
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c-- Everyone has to wait for the component to be reset. |
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_BARRIER |
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|
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enddo |
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|
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cph( |
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CALL WRITE_REC_XYZ_RL( 'grd_findiff' , tmpplot1, 1, 0, myThid) |
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CALL WRITE_REC_XYZ_RL( 'grd_ratio' , tmpplot2, 1, 0, myThid) |
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cph) |
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|
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c-- Print the results of the gradient check. |
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call grdchk_print( ichknum, ierr_grdchk, mythid ) |
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|
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#endif /* ALLOW_GRADIENT_CHECK */ |
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|
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end |
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